On an integrable system related to the relativistic Toda lattice -Bäcklund transformation and integrable discretization

Published 10 Feb 2015 in nlin.SI | (1502.02752v1)

Abstract: We study an integrable system related to the relativistic Toda lattice. The bilinear representation of this lattice is given and the B\"ackulund transformation obtained. A fully discrete version is also introduced with its bilinear B\"acklund transformation and Lax pair. One-soliton solution of the discrete system is presented by use of B\"acklund transformation.

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